What 2 square numbers subtract to make 4696?

What two square numbers subtract to make 4696? In other words, when you subtract one square number from another square number, the answer is 4696. What are the two square numbers?

First, note that a square number is what you get when you multiply a number by itself, which means that the square root of a square number will equal a whole number. Thus, this is what we are solving:

A² - B² = 4696

We solved the equation above and found this to be true:

589² - 585² = 4696

589² is 346921 and 585² is 342225, therefore the answer to the question "What 2 square numbers subtract to make 4696?" is 346921 and 342225 as illustrated below:

346921 - 342225 = 4696

Note that there may be more than one solution to a problem like this. Above, we found the lowest combination of square numbers that subtract to 4696. Below we list alternate solutions if available.

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